Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-4(-1) - \left(2 + -5\right)\right)2(-6)(-5) $$
Correct Answer
$$ 420$$ or 420.000

2. Simplify 2

Simplify the following expression: $$ \left(-2\times5 + -6(-2)\right)2\times5\times5 $$
Correct Answer
$$ 100$$ or 100.000

3. Fractions 1

Simplify the following expression: $$ \frac{4}{5} + \frac{-4}{6} $$
Correct Answer
$$ \frac{2}{15}$$ or 0.13333333333333341

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-5}{6}}{\frac{1}{2}} $$
Correct Answer
$$ \frac{-5}{3}$$ or -1.6666666666666667

5. Significant figures

1. Write the following to 5 significant figures: 392.21228
Correct Answer
392.21 or $$3.9221\times10^{2}$$
2. Write the following to 2 significant figures: 0.0054589749
Correct Answer
0.0055 or $$5.5\times10^{-3}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.000000923854
Correct Answer
$$9.239\times10^{-7}$$
2. Write the following in standard form to 4 significant digits: 0.634356
Correct Answer
$$6.344\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 63670
Correct Answer
$$64\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 1.48865
Correct Answer
$$1.489\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{\left(-6 - -6\right)\frac{-1}{5}}{{\left(-1 + 1\right)}^{2}} $$
Correct Answer
$$ \frac{0}{0}$$ or NaN

9. Simplify 1

Simplify the following expression: $$ 2\left(-4 - -2\right)\left(-2(-5) + 1(-1)\right) $$
Correct Answer
$$ -36$$ or -36.0000

10. Simplify 2

Simplify the following expression: $$ {\left(-6 - 3\right)}^{2} + \frac{-1 + 5}{-3 + 2} $$
Correct Answer
$$ 77$$ or 77.0000


Other Articles:

Mars Re-Entry

A ThreeJS simulation of Mars re-entry in a spaceship.

Atomistic Simulation of Metals

This presents an interactive simulation of atoms making up a nanoscopic particle of metal.

Chernobyl Simulation

An attempt to simulate the normal running, and then accident of the Chernobyl nuclear reactor.




© Hugo2015. Session @sessionNumber